A survey indicates that for each trip to the supermarket, a shopper spends an average of 45 minutes with a standard deviation of 12 minutes in the store. The length of time spent in the store is normally distributed and is represented by the variable x. A shopper enters the store.

1.            Find the Z scores for the 2 Variables 35 and 65. Z 65 = Z 35

2.            Probability that the shopper will be in the store for between 35 and 65 minutes.

3.            Find the probability that the shopper will be in the store less than 25 minutes.

4.            Find the probability that the shopper will be in the store more than 50 minutes.

5.            If 200 shoppers enter the store, how many shoppers would you expect to be in the store more than 40 minutes?

These questions do not have anything to do with the above information

6.            Find the z-score that corresponds to P15.

7.            Find the z-score that corresponds to a cumulative area of 0.4520.

8.            Find the z-score that has 15.75% of the distribution’s area to its right.